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Finding the Third Proportional to 296,304.75 and 651,685.50

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Solution

The third proportional to 296,304.75 and 651,685.50 is: 1,433,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,304.75 : 651,685.50 = 651,685.50 : x
  2. Step 2: Convert to fraction form
    296,304.75/651,685.50 = 651,685.50/x
  3. Step 3: Cross multiply
    296,304.75x = 651,685.50 × 651,685.50
  4. Step 4: Simplify right side
    296,304.75x = 424,693,990,910.25
  5. Step 5: Solve for x
    x = 424,693,990,910.25/296,304.75
  6. Step 6: Final answer
    x = 1,433,301.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.